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Methods of Geometric Analysis in Extension and Trace Problems

Volume 1
BuchGebunden
560 Seiten
Englisch
Springer Baselerschienen am07.10.20112012
The book presents a comprehensive exposition of extension results for maps between different geometric objects and of extension-trace results for smooth functions on subsets with no a priori differential structure (Whitney problems).mehr
Verfügbare Formate
BuchGebunden
EUR117,69
BuchKartoniert, Paperback
EUR128,39
BuchGebunden
EUR128,39
E-BookPDF1 - PDF WatermarkE-Book
EUR117,69
E-BookPDF1 - PDF WatermarkE-Book
EUR96,29

Produkt

KlappentextThe book presents a comprehensive exposition of extension results for maps between different geometric objects and of extension-trace results for smooth functions on subsets with no a priori differential structure (Whitney problems).
Zusammenfassung
Covers the development of the area from the first half of the 20th century to the last decade

Well suited for self-study

Necessary facts presented mostly with detailed proofs

Includes supplementary material: sn.pub/extras
Details
ISBN/GTIN978-3-0348-0208-6
ProduktartBuch
EinbandartGebunden
Erscheinungsjahr2011
Erscheinungsdatum07.10.2011
Auflage2012
ReiheMonographs in Mathematics
Seiten560 Seiten
SpracheEnglisch
MasseBreite 160 mm, Höhe 241 mm, Dicke 37 mm
Gewicht1039 g
Artikel-Nr.10424679

Inhalt/Kritik

Inhaltsverzeichnis
Preface.- Basic Terms and Notation.- Part 1. Classical Extension-Trace Theorems and Related Results.- Chapter 1. Continuous and Lipschitz Functions.- Chapter 2. Smooth Functions on Subsets of Rn.- Part 2. Topics in Geometry of and Analysis on Metric Spaces.- Chapter 3. Topics in Metric Space Theory.- Chapter 4. Selected Topics in Analysis on Metric Spaces.- Chapter 5. Lipschitz Embedding and Selections.- Bibliography.- Index.mehr
Kritik
From the reviews:

"The two-volume monograph is divided into ten chapters, with five chapters in each volume. ... the book successfully conveys the authors' coherent vision for the subject, with the emphasis on linear extension operators, finiteness properties, and the treatment of extension via selection. It is certain to become a standard reference in the field." (Leonid V. Kovalev, Mathematical Reviews, Issue 2012 j)

"The book is a unique (and therefore best) systematic presentation of the parts of analysis linked with the extension and trace problems. It is also a rich source of references and historical information on the topics under consideration. Undoubtedly, the book will influence significantly the research on the subject. The book is addressed at researchers, but it is also useful for lecturers as a source of supplementary material for standard courses of real and functional analysis." (Victor Milman, Zentralblatt MATH, Vol. 1253, 2013)mehr